Answer:
x = 38°
Step-by-step explanation:
An external angle is equal to the sum of the opposite internal angles of a triangle. Either of the internal angles at the base can be found as the supllement of its external angle.
∠OLM = 180° -134° = 46°
Then
... x +46° = 84°
... x = 38° . . . . . subtract 46°
Assuming that c is the length of AB (as is usually the case in the angle-side notation for triangles):
If sin(35) = 12/c, we can transform by multiplying both sides by c, and dividing both by sin(35) to get
c = 12/sin(35)
Evaluating using a calculator gives 20.92 units.
Answer:
14n - 29
Step-by-step explanation:
First you'd distribute in the parentheses by -5. -5 × -2.4n and -5 × 4 which you would get 12 and -20.
Then, bring everything down and combine like terms. 2n + 12n = 14n || -9 - 20 or -9 - (-20) = -29. 14n - 29 is the lowest you can simplify because you can subtract a variable and a constant together.
Answer: 6.4 degrees
Step-by-step explanation:
a= 5 degrees temperature difference to the north gives the opposite of the triangle,
b = 4 degrees temperature difference to the west gives the adjacent,
c = temperature difference of 1 mile to the south east gives the hypotenuse.
Therefore,
Using Pythagoras equation,
c² = b² + a²
c = sqrt( 5² + 4²)
c = sqrt(41) = 6.4 degrees
Therefore, there will be 6.4 degrees temperature difference 1 mile to the south east
